Respuesta:
V = π h r 2 =
d/dr (v)=πd/dr(h)r2+2πhr
V=4/3πr3 =
d/dr(v) = 4πr2
Explicación paso a paso:
π d/dh(hr2)
π (d/dh(h)r2+h d/dh(r2)
π (1r2+h d/dh(r2))
π (1r2+h x 2r2-1 d/dh(r))
π (r2 + h x 2r2-1 d/dh (r))
π (r2 + h x 2r1 d/dh (r))
π (r2 + h x 2r d/dh (r))
πr2 + π ( h x 2r d/dh (r))
πr2 + πh x 2r d/dh (r)
R= d/dr (v)=πd/dr(h)r2+2πhr
d/dr (4/3πr3)
4/3d/dr (πr3)
4/3 π d/dr (r3)
4/3 π x 3r3-1
4/3 π x 3r2
4π x 3/3 r2
4πr2
R= d/dr(v) = 4πr2
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Verified answer
Respuesta:
V = π h r 2 =
d/dr (v)=πd/dr(h)r2+2πhr
V=4/3πr3 =
d/dr(v) = 4πr2
Explicación paso a paso:
V = π h r 2 =
π d/dh(hr2)
π (d/dh(h)r2+h d/dh(r2)
π (1r2+h d/dh(r2))
π (1r2+h x 2r2-1 d/dh(r))
π (r2 + h x 2r2-1 d/dh (r))
π (r2 + h x 2r1 d/dh (r))
π (r2 + h x 2r d/dh (r))
πr2 + π ( h x 2r d/dh (r))
πr2 + πh x 2r d/dh (r)
R= d/dr (v)=πd/dr(h)r2+2πhr
V=4/3πr3 =
d/dr (4/3πr3)
4/3d/dr (πr3)
4/3 π d/dr (r3)
4/3 π x 3r3-1
4/3 π x 3r2
4π x 3/3 r2
4πr2
R= d/dr(v) = 4πr2